erweitern ((sin(t))^2+cos(2t)(sin(t))^2)/(cos(t))

Lösung

erweitern

\frac{( sin ( t ) ) ^{2} + cos ( 2 t ) ( sin ( t ) ) ^{2}}{cos ( t )}

\frac{sin ^{2} ( t )}{cos ( t )} + \frac{sin ^{2} ( t ) cos ( 2 t )}{cos ( t )}

Schritte zur Lösung

\frac{sin ^{2} ( t ) + cos ( 2 t ) sin ^{2} ( t )}{cos ( t )}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{sin ^{2} ( t ) + cos ( 2 t ) sin ^{2} ( t )}{cos ( t )} = \frac{sin ^{2} ( t )}{cos ( t )} + \frac{cos ( 2 t ) sin ^{2} ( t )}{cos ( t )}

= \frac{sin ^{2} ( t )}{cos ( t )} + \frac{sin ^{2} ( t ) cos ( 2 t )}{cos ( t )}

e x p an d \frac{( x + 1 ) ( x - 2 )}{( x + 2 ) ( x - 3 )}

e x p an d - \frac{10}{( x - 2 ) ^{2}}

e x p an d (- 3, - 2) y (- 5, - 7)

e x p an d (2 sin (x) cos^{2} (x) - sin^{3} (x)) ln ∣ sec (x) ∣